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230304 = 2532399
BaseRepresentation
bin111000001110100000
3102200220210
4320032200
524332204
64534120
71646304
oct701640
9380823
10230304
11148038
12b1340
1380a99
145dd04
1548389
hex383a0

230304 has 24 divisors (see below), whose sum is σ = 604800. Its totient is φ = 76736.

The previous prime is 230303. The next prime is 230309. The reversal of 230304 is 403032.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 230304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1104 + ... + 1295.

It is an arithmetic number, because the mean of its divisors is an integer number (25200).

2230304 is an apocalyptic number.

230304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

230304 is an abundant number, since it is smaller than the sum of its proper divisors (374496).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

230304 is a wasteful number, since it uses less digits than its factorization.

230304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2412 (or 2404 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 230304 is about 479.8999895812. The cubic root of 230304 is about 61.2962388594.

Adding to 230304 its reverse (403032), we get a palindrome (633336).

The spelling of 230304 in words is "two hundred thirty thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 2399 4798 7197 9596 14394 19192 28788 38384 57576 76768 115152 230304